Problem $4(25$ points$)($Core Course Outcome $2,4$ & $11)$

Write a script to plot the data points from problem $2$ as symbols together with both the best fit model $p(t)$ for $0t2$ and a

cubic spline for the data points, both plotted as smooth lines. Limit the cubic spline to its range of valid $t$ values for interpolation.

Clearly label your plot. To calculate the spline, use only functions developed in this class. If deemed necessary, you may use

appropriate Matlab data manipulation techniques for the data given in the table of Problem $2,$ or do these "manually" beforehand.

Required submission:

$$ printout of script source code used to solve this problem in your Gradescope submission;

$$ printout of requested figure in your Gradescope submission;